12420364768 has 192 divisors, whose sum is σ = 29746483200. Its totient is φ = 5097254400.

The previous prime is 12420364751. The next prime is 12420364777. The reversal of 12420364768 is 86746302421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58864183 + ... + 58864393.

It is an arithmetic number, because the mean of its divisors is an integer number (154929600).

Almost surely, 2^12420364768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873241600).

12420364768 is an abundant number, since it is smaller than the sum of its proper divisors (17326118432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12420364768 is a wasteful number, since it uses less digits than its factorization.

12420364768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 12420364768 in words is "twelve billion, four hundred twenty million, three hundred sixty-four thousand, seven hundred sixty-eight".